An approach for treating contact surfaces in Lagrangian cell-centered hydrodynamics. - Nathaniel R. Morgan; Mark A. Kenamond; Donald E. Burton; Theodore C. Carney; Daniel Ingraham (J. Comput. Phys., 2013)

A Lagrangian staggered grid Godunov-like approach for hydrodynamics. - Nathaniel R. Morgan; Konstantin Lipnikov; Donald E. Burton; Mark A. Kenamond (J. Comput. Phys., 2014)

Manufactured solutions for the three-dimensional Euler equations with relevance to Inertial Confinement Fusion. - Jacob I. Waltz; Thomas R. Canfield; Nathaniel R. Morgan; L. D. Risinger; John G. Wohlbier (J. Comput. Phys., 2014)

Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR). - Donald E. Burton; Nathaniel R. Morgan; Theodore C. Carney; Mark A. Kenamond (J. Comput. Phys., 2015)

A Godunov-like point-centered essentially Lagrangian hydrodynamic approach. - Nathaniel R. Morgan; Jacob I. Waltz; Donald E. Burton; Marc R. Charest; Thomas R. Canfield; John G. Wohlbier (J. Comput. Phys., 2015)

A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes. - Nathaniel R. Morgan; Jacob I. Waltz; Donald E. Burton; Marc R. Charest; Thomas R. Canfield; John G. Wohlbier (J. Comput. Phys., 2015)

3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement. - Nathaniel R. Morgan; Jacob I. Waltz (J. Comput. Phys., 2017)

Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme. - Donald E. Burton; Nathaniel R. Morgan; Marc R. Charest; Mark A. Kenamond; J. Fung (J. Comput. Phys., 2018)

Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates. - Xiaodong Liu 009; Nathaniel R. Morgan; Donald E. Burton (J. Comput. Phys., 2018)

Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods. - Nathaniel R. Morgan; Xiaodong Liu 009; Donald E. Burton (J. Comput. Phys., 2018)

Constrained optimization framework for interface-aware sub-scale dynamics discrete closure model for multimaterial cells in Lagrangian cell-centered hydrodynamics. - Andrew Barlow; Nathaniel R. Morgan; Mikhail J. Shashkov (Comput. Math. Appl., 2019)

A 3D Lagrangian cell-centered hydrodynamic method with higher-order reconstructions for gas and solid dynamics. - Vincent P. Chiravalle; Nathaniel R. Morgan (Comput. Math. Appl., 2019)

A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows. - Evan J. Lieberman; Nathaniel R. Morgan; Darby J. Luscher; Donald E. Burton (Comput. Math. Appl., 2019)

An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. - Tong Wu 005; Mikhail J. Shashkov; Nathaniel R. Morgan; Dmitri Kuzmin; H. Luo (Comput. Math. Appl., 2019)

A high-order discontinuous Galerkin method for level set problems on polygonal meshes. - Konstantin Lipnikov; Nathaniel R. Morgan (J. Comput. Phys., 2019)

A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes. - Konstantin Lipnikov; Nathaniel R. Morgan (J. Comput. Phys., 2019)

A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme. - Xiaodong Liu 009; Nathaniel R. Morgan; Donald E. Burton (J. Comput. Phys., 2019)

ELEMENTS: A high-order finite element library in C++. - Jacob L. Moore; Nathaniel R. Morgan; Mark F. Horstemeyer (SoftwareX, 2019)

Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes. - Konstantin Lipnikov; Nathaniel R. Morgan (J. Comput. Phys., 2020)

Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics. - Rémi Abgrall; Konstantin Lipnikov; Nathaniel R. Morgan; Svetlana V. Tokareva (SIAM J. Sci. Comput., 2020)

A discontinuous Galerkin method based on a hierarchical orthogonal basis for Lagrangian hydrodynamics on curvilinear grids. - Xiaodong Liu 009; Nathaniel R. Morgan; Evan J. Lieberman; Donald E. Burton (CoRR, 2021)

MATAR: A performance portability and productivity implementation of data-oriented design with Kokkos. - Daniel Dunning; Nathaniel R. Morgan; Jacob L. Moore; Eappen Nelluvelil; Tanya V. Tafolla; Robert W. Robey (J. Parallel Distributed Comput., 2021)

A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids. - Xiaodong Liu 009; Nathaniel R. Morgan; Evan J. Lieberman; Donald E. Burton (J. Comput. Appl. Math., 2022)

A parallel and performance portable implementation of a full-field crystal plasticity model. - Caleb O. Yenusah; Nathaniel R. Morgan; Ricardo A. Lebensohn; Miroslav Zecevic; Marko Knezevic (Comput. Phys. Commun., 2024)